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Finding the Fourth Proportional to 22,263.84, 33,395.76 and 9,113.22

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Solution

The fourth proportional to 22,263.84, 33,395.76 and 9,113.22 is: 13,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.84 : 33,395.76 = 9,113.22 : x
  2. Step 2: Convert to fraction form
    22,263.84/33,395.76 = 9,113.22/x
  3. Step 3: Cross multiply
    22,263.84x = 33,395.76 × 9,113.22
  4. Step 4: Simplify right side
    22,263.84x = 304,342,907.95
  5. Step 5: Solve for x
    x = 304,342,907.95/22,263.84
  6. Step 6: Final answer
    x = 13,669.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.